Which function represents g(x), a reflection of f(x) = on a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. it goes through (negative 1, 1) and crosses the y - axis at (0, 0.)x across the y-axis? g(x) = 2(3)x g(x) = −one-half(3)x g(x) = one-half(3)−x g(x) = 2(3)−x

Step-by-step explanation:

Given:

The graph of function are given.

The equation for is given as:

Now, the graph of is a reflection of .

The graph of passes through the point (-1, 1.5) [second quadrant] and crosses the y-axis at (0, 0.5).

As evident from the graph, the functions are reflections about the y-axis.

We know the transformation rule for reflection about the y-axis as:

Now, the y-intercept of the function is obtained by plugging in . This gives,

So, the y-intercept is at (0, 1). But the graph of crosses the y-axis at (0, 0.5). As we observe, the coordinate rule for the transformation can be written as:

(0, 1) → (0, 0.5)

So, the reflected graph is compressed vertically by a factor of .

Therefore, the transformation is given as:

Therefore, the equation for is:

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

the answer is c

step-by-step explanation: